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Kris5

  • 2 years ago

Help :/ find all the roots by factoring or using the quadratic formula.. f(x)=x^4+5x^2+4

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  1. AccessDenied
    • 2 years ago
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    To find the roots, we set f(x) = 0. \(x^4 + 5x^2 4 = 0\) Now, at first glance, this does not appear to be a quadratic equation. However, what happens if we made a substitution like u = x^2 ?

  2. AccessDenied
    • 2 years ago
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    oops, that should say \(x^4 + 5x^2 + 4 = 0\)

  3. Kris5
    • 2 years ago
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    ok

  4. Kris5
    • 2 years ago
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    I'm stuck here...l

  5. Kris5
    • 2 years ago
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    (4x^2) (4x^2-1)

  6. phi
    • 2 years ago
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    with u= x^2 u^2 +5u +4 =0

  7. AccessDenied
    • 2 years ago
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    ^ Yep. In this form, it becomes a quadratic equation! So, now we are able to either factor or use quadratic formula with this equation.

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